The σ-Model and Non-commutative Geometry

1994/08/28 by Hanying Guo, Han-Ying Guo, Guo, Hanying +10
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9408150

arxiv created 1994/08/28 · openalex publication_date 1994/08/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In terms of non-commutative geometry, we show that the σ--model can be built up by the gauge theory on discrete group Z₂. We introduce a constraint in the gauge theory, which lead to the constraint imposed on linear σ model to get nonlinear σ model .

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